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Finding the Fourth Proportional to 161,405.80, 242,076.30 and 77,165.80

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Solution

The fourth proportional to 161,405.80, 242,076.30 and 77,165.80 is: 115,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,405.80 : 242,076.30 = 77,165.80 : x
  2. Step 2: Convert to fraction form
    161,405.80/242,076.30 = 77,165.80/x
  3. Step 3: Cross multiply
    161,405.80x = 242,076.30 × 77,165.80
  4. Step 4: Simplify right side
    161,405.80x = 18,680,011,350.54
  5. Step 5: Solve for x
    x = 18,680,011,350.54/161,405.80
  6. Step 6: Final answer
    x = 115,733.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.